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Finding the Fourth Proportional to 203,909.24, 305,695.40 and 89,975.92

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Solution

The fourth proportional to 203,909.24, 305,695.40 and 89,975.92 is: 134,889.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,909.24 : 305,695.40 = 89,975.92 : x
  2. Step 2: Convert to fraction form
    203,909.24/305,695.40 = 89,975.92/x
  3. Step 3: Cross multiply
    203,909.24x = 305,695.40 × 89,975.92
  4. Step 4: Simplify right side
    203,909.24x = 27,505,224,854.77
  5. Step 5: Solve for x
    x = 27,505,224,854.77/203,909.24
  6. Step 6: Final answer
    x = 134,889.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.